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Neutron slowing down with energy-dependent anisotropy of scattering

Journal Article · · Nucl. Sci. Eng., v. 59, no. 2, pp. 194-198
OSTI ID:4002739
The problem of neutron slowing down in an infinite medium with energy- dependent anisotropy of elastic scattering has been discussed. The scattering function, P(u',$delta$$mu$), is redefined and expanded in terms of Legendre polynomials and the energy-dependent coefficients of the expansion are determined; in this expansion of P(u',$delta$u) it is possible to carry out matrix degeneration of the kernel of the slowing-down equation; the matrix separable kernel allows the transformation of the integral equation into a differential equation in terms of Green's slowing-down functions. In some cases it is possible to obtain analytically the Green's slowing-down functions. In general, these functions are determined by standard numerical methods for solving sets of differential equations. 4 figures. (auth)
Research Organization:
Boris Kidric Inst. of Nuclear Sciences, Belgrade
NSA Number:
NSA-33-027583
OSTI ID:
4002739
Journal Information:
Nucl. Sci. Eng., v. 59, no. 2, pp. 194-198, Journal Name: Nucl. Sci. Eng., v. 59, no. 2, pp. 194-198; ISSN NSENA
Country of Publication:
United States
Language:
English

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